Answer:
1.08 is the constant of proportionality.
Step-by-step explanation:
The constant value (often written k) relating amounts that rise or fall uniformly together.
It is the ratio of the amounts y and x:
k = y/x
Put another way: y = kx
Example: you are paid $20 an hour
The constant of proportionality is 20 because: Pay = 20 × Hours worked
Solve x^2 + 6x + 15 = 0 using the Quadratic Formula
In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 124 cars, 29 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 90% confidence.
Answer:
The estimate the proportion of college students who drive cars with manual transmissions with 90% confidence is
[tex]0.171 < p < 0.297 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 124
The population proportion p = 0.06
The number of cars with manual transmissions is k = 29
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ 29 }{124 }[/tex]
=> [tex]\^ p = 0.234[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.234 (1- 0.234 )}{124} } [/tex]
=> [tex]E = 0.063 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.234 - 0.063 < p < 0.234 + 0.063 [/tex]
=> [tex]0.171 < p < 0.297 [/tex]
By the Exterior Angle Theorem, which of the following is a true statement?
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]
According to the Exterior Angle Theorem, the true statement should be considered as the option b.
What is an Exterior Angle Theorem?The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.
So based on this, we can say that the option b is correct.
learn more about an angle here: https://brainly.com/question/6150811
Pleaseeee help i think its easy but I don't know
Answer:
12: 32
18: 48
27: 72
Answer:
12:24
18:48
27:81
Step-by-step explanation:
12 pound is going to be 8 times 3 which is 24
18 pounds is going to be 8 times 6 which is 48
27 pounds is goings to be 8 times 9 which is 81
Solve the system using substitution.
3x - 4y = 11
y + 3x = 1
Answer:
x= 1
y= -2
Step-by-step explanation:
1. y+3x=1 subtract 3x from both side to get y= 1-3x
2. Put the new found y value in the equation
3x-4(1-3x)=11
3. Distribute the 4
3x-4+12x=11
4. Add 4 to both sides
3x+12x=15
5. Add the x's
15x=15
6. Solve for x
x=1
7. Plug in the x in the y equation y= 1-3x
y=1-3(1)
8. Solve for y
y= -2
The solution to the system of equations is x = 1 and y = -2.
To solve the system of equations using substitution, we need to solve one of the equations for one variable in terms of the other variable and then substitute that expression into the other equation. Let's solve the second equation for y and then substitute it into the first equation:
Given system of equations:
3x - 4y = 11
y + 3x = 1
Step 1: Solve the second equation for y:
y = 1 - 3x
Step 2: Substitute the value of y from equation (2) into equation (1):
3x - 4(1 - 3x) = 11
Now, let's solve for x:
3x - 4 + 12x = 11
Combine like terms:
15x - 4 = 11
Step 3: Solve for x:
15x = 11 + 4
15x = 15
x = 15 / 15
x = 1
Step 4: Now that we have the value of x, we can find y using equation (2):
y = 1 - 3(1)
y = 1 - 3
y = -2
So, the solution to the system of equations is x = 1 and y = -2.
To know more about equations
https://brainly.com/question/29174899
#SPJ2
HELP I NEEED ANSWER ASAP 95.11 = (100.50 + 78.35 + x)/3
Answer:
Here u go hoped it at least helped u !!!
Step-by-step explanation:
Answer:
106.480
I hope this helps!
Drag each shape to the correct category.
Identify the shapes that are similar to shape A and those that are not.
Answer:
3,1,6,2 hope this helps :D
Step-by-step explanation:
What is the prime factorization of 504
Answer: 23 x 32 x 71
Step-by-step explanation: The orange divisor(s) above are the prime factors of the number 504. If we put all of it together we have the factors 2 x 2 x 2 x 3 x 3 x 7 = 504. It can also be written in exponential form as 23 x 32 x 71.
HELP ME PLEASEEEE :)
Answer:
I believe it to be C
Step-by-step explanation:
How many trees
measured more
than 5 feet tall?
Height of Trees
X
X. X. X
X. X. X
X. X. X. X
X. X. X. X
X. X. X. X
5/2. 5/3. X. X
—. —- 6. 6/1
1. 4. 4—
Answer:
thats not a proper equation-
Step-by-step explanation:
Equation A
Х
Y
-2
6
2
1
0
2
-2
-9
Equation B
х
Y
-2
-1
-6
0
-3
1
0
What is the solution to this system of equations?
0 (-1,-5)
0 (0,2)
O (-2, 6)
O (1,0)
its c
Step-by-step explanation:
Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90, how many bags must she sell to earn at least $200.
Answer:
Step-by-step explanation:
.90-.35=.55
200/.55=364 bags i think
Elvira sells a total of 364 bags to earn a profit of $200 and this can be determined by using the unitary methods.
Given :
Elvira makes money to buy decorations for the cafeteria by selling little bags of chips in the snack bar. If each bag costs $0.35 and she can sell the bag for $0.90.Total profit earn = $200The following steps can be used to determine the total number of bags she sells to earn the profit of $200:
Step 1 - First find the total profit she earns to sell one bag.
= 0.90 - 0.35
= $0.55
Step 2 - Now, using the unitary method find the total number of bags she sells to earn a profit of $200 If she earns a profit of $0.55 to sell one bag.
[tex]=\dfrac{200}{0.55}[/tex]
= 363.63 [tex]\approx[/tex] 364 bags
She sells a total of 364 bags to earn a profit of $200.
For more information, refer to the link given below:
https://brainly.com/question/23423168
a square has an area of 49 square meters
Answer:
7x7
Step-by-step explanation:
its base (length) and width is 7.
distance from -3 to 0
The cost of 90 kg of rice is 4500. what is the cost of 2 quintal of rice?
Answer:
The cost of 2 quintal of rice is $10,000.
Step-by-step explanation:
To determine the cost of 2 quintals of rice, knowing that 90 kilos of said product is worth $ 4,500, it is first necessary to establish the equivalence between quintals and kilograms. In this regard, a quintal is equivalent to 100 kilograms, so 2 quintals are equivalent to 200 kilos.
Now, to determine the cost per kilogram of rice, the following calculation is required:
4,500 / 90 = X
50 = X
Therefore, 1 kilogram of rice costs $ 50. Thus, since 200 x 50 equals 10,000, 2 quintals of rice will cost $ 10,000.
(6p+ 15) + (10p-9)
O A. 16p- 6
OB. 16p+ 24
O C. 16p+ 6
O D. 6p+ 6
Answer:
B
Step-by-step explanation:
An antelope can run 152.5 miles in 2.5 hours. What is the average speed of the antelope?
Answer:61mph
Step-by-step explanation:
152.5/2.5=61
Answer:
Easy, it's 61miles per hour
Step-by-step explanation:
Help with these 2 please !!
Factor the expression.
-28.2 - 14
PLZ HELP, WILL GIVE BRAINLIEST!!!
Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.
What is the price each of one senior citizen ticket and one child ticket?
Answer: $4 senior, $7 child
Step-by-step explanation:
(3s + 9c = 75)
8s + 5c = 67
Find the absolute maximum value of the function
Answer:
find ity yourself -_______________-
Step-by-step explanation:
please help me asap and
Answer: p < 5
Step-by-step explanation:
You subtract 5 from each side and end up with p < 5
Using the Distance Formula and the Pythagorean Theorem, find the distance, to the nearest tenth, from F (5,3) to G (−5,−1). The distance from F to G is .
Answer:
2√29
Step-by-step explanation:
Let tk be the number of ways to choose k beads from a drawer that contains 10 red beads, 8 blue beads, and 11 green beads. Find the generating function for the sequence {tk} 29 k = 0. Do not find a formula for tk.
Answer:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]
Step-by-step explanation:
From the given information;
The total number of beads = 10 + 8 + 11 = 29
To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:
[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]
∴
The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]
The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:
[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]
[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]
For the sequence above;
[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]
By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]
Thus:
[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]
Using only the values given in the table for the function, f(x) = x3 – 3x – 2, what is the interval of x-values over which the function is decreasing?
(–4, 1)
(–4, –1)
(–1,1)
(–1, 2)
Answer:(-1.1)
Step-by-step explanation:
Answer: The answer is (-1,1)
Step-by-step explanation:
I just did it and I hope this helps you❤️
Who is good at math?
Answer:
me depending on what kind of math it is
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO WHOMEVER ANSWERS FIRST
Which situation is best represented by the equation below?
Answer:
John paid $127 for football camp. He paid a $7 registration fee and $5 for each week he was enrolled in camp. What is w, the number of weeks John was enrolled in football camp?
Edmundo wrote the expression 4²-5•2³. What is the value of this expression
The value of the expression is -24.
Calculation of the value of the expression:Since the equation is [tex]4^2-5\times 2^3[/tex]
So, the value should be
[tex]= 4^2-5\times 2^3\\\\[/tex]
= 16 - 5(8)
= 16 -40
= -24
Here we use PEDMAS
P denotes for parenthesis
E denotes for exponents
D means divide
M means multiply
A means addition
S means subtraction
Therefore, we can conclude that The value of the expression is -24.
Learn more about expression here: https://brainly.com/question/2860139
A glider flies 8 miles south from the airport and then 15miles east. Then it flies in a straight line back to. What was the distance of the glider’s last trip back to the airport?